Abstract: Linear algebra is an important branch of mathematics and an important teaching module of mathematics in higher vocational colleges. Starting from the connection between linear algebra and new technology, this paper cut into the digital transformation of higher vocational mathematics education, construct teaching content with the background of new technology, extract problems from new technology to guide students to learn actively, and enhance the ability to learn and apply linear algebra knowledge through analyzing and solving problems. The teaching reform, focusing on the combination of new technology, has changed teaching method that emphasizes theoretical analysis in traditional teaching, followed the teaching idea from reality to mathematics and then to reality, and strengthened the cultivation of students' innovative ability.

Key words: Linear algebra, Digital transformation, Artificial intelligence, Higher vocational mathematics, Teaching reform, Innovation ability